{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Apparent Elevation**\n",
    "\n",
    "\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 2.7.1, a signal transmitted through the atmosphere bends toward the earth. In many radar applications, this would require transmission of the signal at a higher elevation angle in order to have the energy intercept the target, as shown in Figure 2.9.  This angle is referred to as the apparent elevation angle, as the target appears to be at a different angle than its true position."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The amount of correction to the true target elevation is\n",
    "\n",
    "$$\n",
    "\\Delta \\theta = -\\int\\limits_{h}^{\\infty} \\frac{n'(z)}{n(z) \\tan \\phi}\\,dz \\hspace{0.5in} \\mathrm{(deg)}\n",
    "$$\n",
    "\n",
    "where \n",
    "\n",
    "$$\n",
    "    \\cos \\phi = \\frac{c}{(r_e+z) \\, n(z)}, \\hspace{0.2in} c = (r_e + h) \\, n(h) \\cos \\theta.\n",
    "$$\n",
    "\n",
    "\n",
    "Since the refraction in the atmosphere is largely determined by the lower layers, a model based on the exponential atmosphere for terrestrial propagation allows the index of refraction at some altitude, $z$, to be expressed as\n",
    "\n",
    "$$\n",
    "n(z) = 1 + \\alpha \\, e^{-\\beta z},\n",
    "$$\n",
    "\n",
    "where $\\alpha = 0.000315$, and $\\beta = 0.1361$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Andy Harrison\\Documents\\RadarBook\\BC\\software\n"
     ]
    }
   ],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the true elevation (degrees) and the height (km) and create an array of 100 values using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "true_elevation = 20.0\n",
    "\n",
    "max_height = 5\n",
    "\n",
    "height = linspace(0, max_height, 100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the apparent elevation for each height value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.wave_propagation import refraction\n",
    "\n",
    "apparent_elevation = [refraction.apparent_elevation(true_elevation, h) for h in height]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Also calculate the apparent elevation with the approximate method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "kwargs = {'theta_true': true_elevation, 'height': height}\n",
    "\n",
    "apparent_elevation_approximate = refraction.apparent_elevation_approximate(**kwargs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the apparent elevation due to refraction using the `matplotlib` routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.plot(height, apparent_elevation, label='Integration')\n",
    "\n",
    "plt.plot(height, apparent_elevation_approximate, '--', label = 'Approximate')\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Apparent Elevation due to Refraction', size=14)\n",
    "\n",
    "plt.xlabel('Height (km)', size=12)\n",
    "\n",
    "plt.ylabel('Apparent Elevation Angle (degrees)', size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the legend\n",
    "\n",
    "plt.legend(loc='upper right', prop={'size': 10})\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
